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Finding the Fourth Proportional to 309,754.44, 427,611.29 and 207,742.64

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Solution

The fourth proportional to 309,754.44, 427,611.29 and 207,742.64 is: 286,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,754.44 : 427,611.29 = 207,742.64 : x
  2. Step 2: Convert to fraction form
    309,754.44/427,611.29 = 207,742.64/x
  3. Step 3: Cross multiply
    309,754.44x = 427,611.29 × 207,742.64
  4. Step 4: Simplify right side
    309,754.44x = 88,833,095,101.64
  5. Step 5: Solve for x
    x = 88,833,095,101.64/309,754.44
  6. Step 6: Final answer
    x = 286,785.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.